Question

When a counting number is added to 3 and the sum is divided by​ 2, the quotient will be an even number.

Choose the correct answer below.

(8+4)/2=6, which is an even number
(10/2)+3=9, which is not an even number
(3+2)/2=5/2, which is not an even number

Answer 1

A counting number is a whole number, then we have that:

"a counting number is added to 3"

This is N + 3, where N is a whole number

"...and the sum is divided by​ 2..."

Now we have:

(N + 3)/2

"the quotient will be an even number."

(N + 3)/2 = even number.

None of the options is in this form, but we could take the first one:

(8 + 4)/2

And write the numerator as:

8 + 4 = 8 + ( 3 + 1) = 8 + 3 + 1 = (8 + 1) + 3 = 9 + 3.

Then we have:

(9 + 3)/2 = 6 .

In this case, we have a counting number, 9 , added to 3, and the sum is divided by 2, and the quotient is an even number, 6.